Write the equation  x2 + z2 -(y-1)2  = 0 in cylindrical system . Which surface does it represent? Give its specifications briefly.

Q: Sketch the surface.......... ASSORTED ............... 4y2 + z2 - 4x2 = 4

A: Given :             The given function is 4y2 + z2 - 4x2 = 4 And can be written as,…

Q: Sketch the surface..........CYLINDERS............. x2 + y2 = 4

A: x2+y2=4 Now, rewrite the above surface for the function as, z=fx,y. z=fx,y=4-x2-y2

Q: Sketch the surface..........CYLINDERS.............x2 + 4z2 = 16

A: Here we have to draw the surface of cylinder having equation  x2+4z2=16

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 7) Radius:…

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Q: Find the points on the surface y2 36 + xz that are closest to the origin. (х, у, 2) (smaller…

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Q: Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x - 4y + 4z + 35 = 0 Find its…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –3, 4) Radius:…

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Q: Write the equation  x2 - y2 - (z-1)2 = 9 in cylindrical system . Which surface does it represent?…

A: Convert into cylindrical representation.

Q: Describe and sketch the surface 4x2 + y2 = 4

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 4) Radius:…

A: Given radius of circle is 9.  And center is (-1,-7,4).

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –-2, 4)…

A: NOTE: Refresh your page if you can't see any equations. . the center is  and the radius is

Q: Two children weighing 18 and 20 kilograms are sitting on opposite sides of a seesaw, both 2 meters…

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Q: Write the equations in cylindrical coordinate (a) 8z = 5x2 + 5y2 (b) 3x2 + 3y2 = 2y

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

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Q: Identify and sketch the solid figure that could be formed by the net.

A: 4. To identify the solid figure formed by the netof squares

Q: Write the equation  x2 - y2 - (z-1)2 = 9 in cylindrical system . Which surface does it represent?…

A: A given point P (x, y, z) in rectangular coordinate.   Now in a cylinder coordinate system, a point…

Q: How can I parametrize this 3D shape with two variables? x ≥ 0, 0 ≤ y ≤ x, x^2 + y^2 ≤ z ≤…

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Q: Write the equation 5x2+10y-z=5 in cylindrical coordinates.

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Q: Q1/ plot x2-y2=z (Elliptic paraboloid) in 3D.

A: Topic:- plot in 3-D

Q: Find parametric equations for the intersection of the surfaces y = x² and 2x² + y² + 6z² = 24 and…

A: Find out the parametric equations for the intersection of the surfaces y=x2 and 2x2+y2+6z2=24…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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Q: What is the definition of a parabolic cylinder?

A: The parabolic cylinder functions are the solutions to the differential equation d2ydx2 + ax2 + bx +…

Q: Find the equation of spheres passing through the circle x+y+z'-6x-2z+5 =0, y = 0 and touching the…

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Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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Q: What is the highest point on the ellipse that is the intersection of the plane z+y+ 2z = 2 and the…

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Q: Find the equation of the sphere which passes through the origin and the points (0, 1. -1), (-1,2, 0)…

A: Use the genres equation of sphere passing through origin.

Q: Classify the conic section of each equation.  Explain how you made your decision. 13. 4x2 + 3x = y2…

A: Topic = Conic section   The equation of every conic can be written in the following form:   Ax2 +…

Q: -axis. 5. Evaluate dV, where E is the solid tetrahedron with vertices at (0,0, 0), (2, 0, 0),…

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Q: Two children weighing 16 and 24 kilograms are sitting on opposite sides of a seesaw, both 2 meters…

A: Given,           Two children weighing 16 and 24 kilograms are sitting on opposite sides of a…

Q: Find the point on the parabola y = x^2 closest to the point (−3, 0)? and give the minimal distance?

A:

Q: Classify and sketch the surface 12x? – 3y? + 4z? = 12 What are the 3 traces? Show equations of the…

A: A quadratic surface is a hypersurface. It is nothing but the generalization of a conic section in…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 7) Radius:…

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Q: Sketch the graph of the equation in xyz coordinate system and identify the surface 8x? + 4y? – z2 =…

A: Sketch the graph for the given surface.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 3) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 2) Radius:…

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Q: How close does the semicircle y = V16 – x² come to the point (1, v5)? |

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Q: Classify the quadric surface ² - y² - x² + 4x = 5. 2 य

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -8, 8) Radius:…

A: Let's find.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –3, 5) Radius:…

A: Given that: Centre of the sphere, (h,k,g)= (-1, -3, 5) and radius, R=6

Q: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

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Q: Choose the equation that represents the graph of the cylindrical surface below O2 + y? = 1, = 5 O…

A: We have plotted the graph:- second option

Q: Find the volume of the solid formed if we rotate the ellipse+ = 1 about the line 4x + 3y = 20.

A: Calculation of Volume.

Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

A:

Q: Determine the center of the conic of equation: 16x² + 128r + 49y² + 588y = -1236. A) (4,6) В) (-4,…

A: Brief explanation of the answer is below.

Q: Find the cylindrical equation for the ellipsoid 4x2 + 4y² + 2² = 1.

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Q: Write x²-y²-(z-1)²=9 in cylindrical system and what surface does it represent

A: A given point P (x, y, z) in rectangular coordinate. Now in a cylinder coordinate system, a point is…

Q: write the equation x^2-y^2-(z-1)^2=9 in cylindrical system , which surface does it represent ? give…

A: To determine the cylindrical form of the equation.

Q: Find a parametric representation of the solution set of the linear equation. i. x + y = 2 3 x-y - z…

A: We have to find

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 9) Radius.…

A: We are given center of sphere as (-1, -7, 9) and radius be 6. We have to find standard equation of…

Q: write the equation x^2+z^2-(y-1)^2=0 in cylindrical system. which surface does it represent

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Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.